53381344318335 has 32 divisors (see below), whose sum is σ = 103527455650560. Its totient is φ = 25881863911200.

The previous prime is 53381344318303. The next prime is 53381344318417.

53381344318335 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 13 + 443 + 183 + 3 + 5 = 666.

53381344318335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53381344318335 - 2⁵ = 53381344318303 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17973515121 + ... + 17973518090.

It is an arithmetic number, because the mean of its divisors is an integer number (3235232989080).

Almost surely, 2^{53381344318335} is an apocalyptic number.

53381344318335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53381344318335 is a deficient number, since it is larger than the sum of its proper divisors (50146111332225).

53381344318335 is a wasteful number, since it uses less digits than its factorization.

53381344318335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947033236 (or 35947033230 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 53381344318335 in words is "fifty-three trillion, three hundred eighty-one billion, three hundred forty-four million, three hundred eighteen thousand, three hundred thirty-five".